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klio [65]
3 years ago
9

Name1. Emerson is starting a new business. Product Acosts her $26.50. She decides to mark theproduct up 30%. How will Emerson ch

arge forProduct A

Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0
$26.50x30/100=7.95
$26.50+$7.95=$34.45
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Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph
diamong [38]

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Given lines :  y = √x, y = 2, x = 0.

<u>a) The x-axis </u>

using the shell method

y = √x = , x = y^2

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vol = ( 2π ) \int\limits^2_0 {ph} \, dy

     = ( 2\pi ) \int\limits^2_0 {y.y^2} \, dy  

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<u>b) The line y = 2  ( using the shell method )</u>

p = 2 - y

h = y^2

vol = ( 2π ) \int\limits^2_0 {ph} \, dy

     = ( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy

     = ( 2π ) * [ 2/3 * y^3  - y^4 / 4 ] ²₀

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h = 2-y  = h = 2 - √x

p = x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

     = (2\pi ) \int\limits^4_0 {x(2-\sqrt{x}  ) } \, dx

     = ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

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h = 2√x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

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attached below is the graphical representation of P and h

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